Charges



 Hi all,
 from time to time there is a discussion about the construction and the use
 of point
 charges in molecules. I think there is no doubt within the community, that
 for
 intermolecular interactions one should use charges ( and point dipoles,
 point
 quadrupoles, etc ) which are adjusted to reproduce as good as possible the
 electrostatic potential of the molecule. For qualitative discussions of
 chemical
 bonding the use of various population analysis ( Mulliken;
 Davidson-Roby-Ahlrichs,
 natural orbital populations of  Weinhold; Bader; etc. By the way : There is
 a very promising new one of Marco Haeser in JACS, Vol. 118, 1996, pp.
 7311-7325,
 which I think is more rigorous as any previous ones and without any ad hoc
 postulates.) are most appropriate.  The fitting of the electrostatic
 potential of a
 molecule is a highly non-trivial subject ( see e.g. Michelle Miller Francl
 et al.,
 J. Comput. Chem., Vol. 17, 1996, pp. 367-383, and the very recent review by
 Sarah L. Price, J. Chem. Soc., Faraday Trans., Vol. 92, 1996, pp. 2997-3008
 )
 and in my view not a really solved problem, especially for large molecules.
 Now I became aware of a series of papers by George G. Hall and his coworkers
 about the fitting of electron densities, which I never heart off bevor and
 which, I think,
 are quite unknown to the community. Hall et al. fit the calculated electron
 densities
 of molecules to atom-centered gaussians as it is done by many DFT-programs
 ( "density fitting with an auxillary basis" ) and got a very good ( in
 my
 view an
 excellent ) representation of the electrostatic potential of a molecule.
 Those DFT-
 programs with charge density fitting are able to calculate the charge
 density of
 molecules  within density functional theory with more than thousand basis
 functions
 on a single workstation in about an hour of cpu-time ( see e.g. Karin
 Eichkorn et al.,
 Chem. Phys. Lett. 240 (1995) 283-290 ). As a by-product of the calculation
 one gets
 an excellent fit of the electrostatic potential of the molecule with
 gaussians. After some
 minor modifications of the programs one gets from this point charges, point
 dipoles,
 point quadrupoles, etc. or if one likes it the current bun model of Hall and
 coworkes.
 My question to the community is now, wether anyone else has similar thoughts
 or
 even experiences with this sort of density fitted electrostatic potentials ?
 Does anyone has an opinion about using such charge models in force field
 calculations ( energy minimization of molecular crystals or molecular
 dynamics
 calculation of fluids ) ? Please send responses to the list, so that anyone
 else can
 follow the discussion.
 Ciao,
 Heinz
 PS: Here are the references of Hall and coworkers :
      George G. Hall and David Martin
      Approximate Electron Densities for Atoms and Molecules
      Isr. J. Chem. 19 (1980) 255-259
      G. G. Hall and C. M. Smith
      Fitting Eelectron Densities of Molecules
      Int. J. Quantum Chem. 25 (1984) 881-890
      G. G. Hall and K. Tsujinaga
      The molecular electrostatic potential of some simple molecules
      Theor. Chim. Acta 69 (1986) 425-436
      K. Tsujinaga and G. G. Hall
      The currant bun model of simple molecules
      Theor. Chim. Acta 70 (1986) 257-264
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 Dr. Heinz Schiffer            65926 Frankfurt am Main
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 Scientific Computing          Fax   ++49-69-305-81162
 Email :   schiffer;at;wia.hoechst-ag.d400.de
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